Report of the fit

Fit summary

Description: PV19 version x
Minimiser: minuit
Random seed: 1234
Maximum values allowed for q_T / Q: 0.2
Percentile cut: 5
Parameterisation: PV19x
Initial parameters fluctuations: True
Explicit formula:

f_{\rm NP}(x,\zeta, b_T)= \Biggl( \frac{1-\lambda}{1 + g_1(x) b_T^2/4} + \lambda \exp \left(-g_{1B}(x) b_T^2 / 4 \right)\Biggr) \exp\left[- g_2 \log\left(\frac{\zeta}{Q_0^2}\right) b_T^2/4 - g_{2B} \log\left(\frac{\zeta}{Q_0^2}\right) b_T^4/4 \right]g_1(x) = \frac{N_1}{x\sigma} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha}\right)}{2 \sigma^2} \right]g_{1B}(x) = \frac{N_{1B}}{x\sigma_B} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha_B}\right)}{2 \sigma_B^2} \right]Q_0^2 = 1\;{\rm GeV}^2 t_0 prescription: True

g_2 N_1 \alpha \sigma \lambda N_{1B} \alpha_B \sigma_B g_{2B}
0.0010419173824142214 0.39014293364681746 0.22161484622320993 0.4074774248933806 0.526353557609152 0.03814065059347773 0.07312140408143371 0.3351975265330307 0.014297981212139585

Theory summary

Collinear PDF set: MMHT2014nnlo68cl member 0
Collinear FF set: DSS14_NLO_PiSum member 0
b^* prescription: bstarmin
Perturbative order: NNLLp
Reference value of the fine-structure constant: \alpha(Q = 91.1876\;{\rm GeV}) = 0.00776578395589 (running True)

Global statistical estimators

N_{rep} = 122
\chi_{0}^2 = 1.1465
\chi_{mean}^2 = 1.0724
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 1.1698 \pm 0.0124
\langle E \rangle \pm \sigma_{E} = 2.1819 \pm 0.1528

Parameters

Parameter Central replica Average over replicas Fixed
g_2 0.00011560729 -0.00104242 \pm 0.00810468 False
N_1 0.42030542 0.44676858 \pm 0.14107231 False
\alpha 0.21950611 0.22573654 \pm 0.01364442 False
\sigma 0.39278937 0.39114982 \pm 0.08850198 False
\lambda 0.55456343 0.54421056 \pm 0.0871428 False
N_{1B} 0.037791147 0.04211653 \pm 0.01288901 False
\alpha_B 0.073482989 0.07526806 \pm 0.01089862 False
\sigma_B 0.33712526 0.30370251 \pm 0.11145638 False
g_{2B} 0.015197922 0.01507184 \pm 0.00297575 False
Fitted parameter correlation matrix

Fit properties

Global \chi^2 distribution
Global error function distribution
g_2 distribution
N_1 distribution
\alpha distribution
\sigma distribution
\lambda distribution
N_{1B} distribution
\alpha_B distribution
\sigma_B distribution
g_{2B} distribution

Table of \chi^2’s

Central-replica \chi^2’s:
Experiment Number of points \chi_{D}^2 \chi_{\lambda}^2 \chi^2
E605_Q_7_8 7 0.611 0.0008 0.6118
E605_Q_8_9 8 1.4186 0.0008 1.4194
E605_Q_10.5_11.5 10 0.3598 0.1877 0.5475
E605_Q_11.5_13.5 12 0.8337 0.56 1.3936
E605_Q_13.5_18 13 1.4045 0.7053 2.1098
E288_200_Q_4_5 4 0.6485 0.9003 1.5487
E288_200_Q_5_6 5 1.5776 0.2985 1.8761
E288_200_Q_6_7 6 0.3345 0.1478 0.4823
E288_200_Q_7_8 7 0.449 0.0056 0.4546
E288_200_Q_8_9 8 0.5521 0.0411 0.5932
E288_300_Q_4_5 4 0.5451 0.529 1.0741
E288_300_Q_5_6 5 0.8772 0.1515 1.0287
E288_300_Q_6_7 6 0.5087 0.0383 0.547
E288_300_Q_7_8 7 0.1146 0.0212 0.1358
E288_300_Q_8_9 8 0.5207 0.0083 0.529
E288_300_Q_11_12 9 0.3562 0.2325 0.5887
E288_400_Q_5_6 5 0.3468 0.0044 0.3512
E288_400_Q_6_7 6 0.0961 0.001 0.0971
E288_400_Q_7_8 7 0.0192 0.0196 0.0388
E288_400_Q_8_9 8 0.4268 0.0395 0.4663
E288_400_Q_11_12 11 0.495 0.0408 0.5357
E288_400_Q_12_13 12 0.4871 0.0389 0.526
E288_400_Q_13_14 12 0.5956 0.0845 0.6801
STAR_510 7 0.9519 0.0396 0.9916
CDF_RunI 25 0.5551 0.0719 0.627
CDF_RunII 26 0.9481 0.0024 0.9505
D0_RunI 12 0.6445 0.0324 0.677
D0_RunII 5 1.0501 0.0457 1.0958
D0_RunIImu 3 0.2946 0.0502 0.3448
LHCb_7TeV 7 1.191 0.2049 1.3958
LHCb_8TeV 7 0.5465 0.1547 0.7012
LHCb_13TeV 7 0.8172 0.0395 0.8568
CMS_7TeV 4 2.5325 0 2.5325
CMS_8TeV 4 1.3185 0.1564 1.4749
ATLAS_7TeV_y_0_1 6 3.5186 0.0171 3.5357
ATLAS_7TeV_y_1_2 6 3.6908 0.597 4.2879
ATLAS_7TeV_y_2_2.4 6 2.9067 0.2864 3.1931
ATLAS_8TeV_y_0_0.4 6 3.0946 0.7176 3.8123
ATLAS_8TeV_y_0.4_0.8 6 3.4236 0.702 4.1257
ATLAS_8TeV_y_0.8_1.2 6 1.6008 0.1807 1.7815
ATLAS_8TeV_y_1.2_1.6 6 1.3811 0.2279 1.609
ATLAS_8TeV_y_1.6_2 6 0.9259 0.2886 1.2145
ATLAS_8TeV_y_2_2.4 6 0.9497 0.432 1.3817
ATLAS_8TeV_Q_46_66 4 1.8525 0.5315 2.384
ATLAS_8TeV_Q_116_150 8 0.6575 0.0024 0.6599
Total 353 - - 1.1465
Mean-replica \chi^2’s:
Experiment Number of points \chi_{D}^2 \chi_{\lambda}^2 \chi^2
E605_Q_7_8 7 0.4245 0.0475 0.472
E605_Q_8_9 8 0.9913 0.0269 1.0182
E605_Q_10.5_11.5 10 0.1832 0.1561 0.3394
E605_Q_11.5_13.5 12 0.4416 0.3177 0.7593
E605_Q_13.5_18 13 0.4626 0.423 0.8856
E288_200_Q_4_5 4 0.252 0.6587 0.9107
E288_200_Q_5_6 5 0.762 0.3082 1.0702
E288_200_Q_6_7 6 0.174 0.1555 0.3295
E288_200_Q_7_8 7 0.3033 0.0191 0.3224
E288_200_Q_8_9 8 0.6516 0.0176 0.6691
E288_300_Q_4_5 4 0.2681 0.5278 0.7959
E288_300_Q_5_6 5 0.5705 0.2029 0.7734
E288_300_Q_6_7 6 0.3841 0.0704 0.4545
E288_300_Q_7_8 7 0.0761 0.0396 0.1156
E288_300_Q_8_9 8 0.4584 0.0257 0.4841
E288_300_Q_11_12 9 0.9769 0.1465 1.1234
E288_400_Q_5_6 5 0.3902 0.0531 0.4433
E288_400_Q_6_7 6 0.1364 0.0044 0.1408
E288_400_Q_7_8 7 0.023 0.0075 0.0306
E288_400_Q_8_9 8 0.4383 0.0269 0.4652
E288_400_Q_11_12 11 0.5847 0.0232 0.6079
E288_400_Q_12_13 12 0.73 0.0182 0.7482
E288_400_Q_13_14 12 1.0392 0.0337 1.0729
STAR_510 7 0.7982 0.065 0.8632
CDF_RunI 25 0.489 0.073 0.562
CDF_RunII 26 1.0337 0.0 1.0338
D0_RunI 12 0.7215 0.0284 0.75
D0_RunII 5 1.0515 0.0456 1.0971
D0_RunIImu 3 0.3794 0.08 0.4594
LHCb_7TeV 7 1.0958 0.2347 1.3306
LHCb_8TeV 7 0.4925 0.1476 0.6401
LHCb_13TeV 7 0.7587 0.0382 0.7969
CMS_7TeV 4 2.5285 0 2.5285
CMS_8TeV 4 1.3011 0.1527 1.4538
ATLAS_7TeV_y_0_1 6 3.4031 0.0188 3.4219
ATLAS_7TeV_y_1_2 6 3.7975 0.596 4.3935
ATLAS_7TeV_y_2_2.4 6 2.9841 0.2817 3.2658
ATLAS_8TeV_y_0_0.4 6 2.9987 0.6995 3.6982
ATLAS_8TeV_y_0.4_0.8 6 3.5438 0.6654 4.2091
ATLAS_8TeV_y_0.8_1.2 6 1.6201 0.1737 1.7938
ATLAS_8TeV_y_1.2_1.6 6 1.3955 0.2215 1.617
ATLAS_8TeV_y_1.6_2 6 0.9903 0.2964 1.2868
ATLAS_8TeV_y_2_2.4 6 1.1261 0.4853 1.6114
ATLAS_8TeV_Q_46_66 4 1.7102 0.5673 2.2775
ATLAS_8TeV_Q_116_150 8 0.6701 0.002 0.6721
Total 353 - - 1.0724
Average-over-replicas \chi^2’s:
Experiment Number of points \chi^2
E605_Q_7_8 7 0.6832 \pm 0.1547
E605_Q_8_9 8 1.4819 \pm 0.2262
E605_Q_10.5_11.5 10 0.5844 \pm 0.0722
E605_Q_11.5_13.5 12 1.4771 \pm 0.0962
E605_Q_13.5_18 13 2.1179 \pm 0.0971
E288_200_Q_4_5 4 1.516 \pm 0.3393
E288_200_Q_5_6 5 1.8582 \pm 0.2013
E288_200_Q_6_7 6 0.4792 \pm 0.0912
E288_200_Q_7_8 7 0.4474 \pm 0.1311
E288_200_Q_8_9 8 0.593 \pm 0.0576
E288_300_Q_4_5 4 1.062 \pm 0.2886
E288_300_Q_5_6 5 1.0341 \pm 0.142
E288_300_Q_6_7 6 0.5416 \pm 0.1266
E288_300_Q_7_8 7 0.1384 \pm 0.0471
E288_300_Q_8_9 8 0.5612 \pm 0.0854
E288_300_Q_11_12 9 0.5938 \pm 0.0304
E288_400_Q_5_6 5 0.38 \pm 0.102
E288_400_Q_6_7 6 0.1208 \pm 0.0456
E288_400_Q_7_8 7 0.0699 \pm 0.044
E288_400_Q_8_9 8 0.5005 \pm 0.0736
E288_400_Q_11_12 11 0.5927 \pm 0.1366
E288_400_Q_12_13 12 0.5505 \pm 0.0354
E288_400_Q_13_14 12 0.6797 \pm 0.0554
STAR_510 7 1.0092 \pm 0.0712
CDF_RunI 25 0.6289 \pm 0.0186
CDF_RunII 26 0.9766 \pm 0.0842
D0_RunI 12 0.6883 \pm 0.0261
D0_RunII 5 1.0415 \pm 0.2184
D0_RunIImu 3 0.3937 \pm 0.1742
LHCb_7TeV 7 1.3997 \pm 0.0272
LHCb_8TeV 7 0.7133 \pm 0.0908
LHCb_13TeV 7 0.8798 \pm 0.0449
CMS_7TeV 4 2.5349 \pm 0.0143
CMS_8TeV 4 1.472 \pm 0.0597
ATLAS_7TeV_y_0_1 6 3.57 \pm 0.2821
ATLAS_7TeV_y_1_2 6 4.3661 \pm 0.1167
ATLAS_7TeV_y_2_2.4 6 3.2322 \pm 0.092
ATLAS_8TeV_y_0_0.4 6 3.8136 \pm 0.1782
ATLAS_8TeV_y_0.4_0.8 6 4.1621 \pm 0.0768
ATLAS_8TeV_y_0.8_1.2 6 1.8149 \pm 0.0787
ATLAS_8TeV_y_1.2_1.6 6 1.647 \pm 0.1171
ATLAS_8TeV_y_1.6_2 6 1.2879 \pm 0.2082
ATLAS_8TeV_y_2_2.4 6 1.5374 \pm 0.3817
ATLAS_8TeV_Q_46_66 4 2.3762 \pm 0.1081
ATLAS_8TeV_Q_116_150 8 0.666 \pm 0.0135
Total 353 1.1698 \pm 0.0124

TMDs in k_T space

TMD PDF of the d at Q = 2 GeV and x = 0.001
TMD PDF of the d at Q = 2 GeV and x = 0.01
TMD PDF of the d at Q = 2 GeV and x = 0.1
TMD PDF of the d at Q = 2 GeV and x = 0.5
TMD PDF of the d at Q = 2 GeV and x = 0.9

Data-theory comparison

E605_Q_7_8 data-theory comparison
E605_Q_8_9 data-theory comparison
E605_Q_10.5_11.5 data-theory comparison
E605_Q_11.5_13.5 data-theory comparison
E605_Q_13.5_18 data-theory comparison
E288_200_Q_4_5 data-theory comparison
E288_200_Q_5_6 data-theory comparison
E288_200_Q_6_7 data-theory comparison
E288_200_Q_7_8 data-theory comparison
E288_200_Q_8_9 data-theory comparison
E288_300_Q_4_5 data-theory comparison
E288_300_Q_5_6 data-theory comparison
E288_300_Q_6_7 data-theory comparison
E288_300_Q_7_8 data-theory comparison
E288_300_Q_8_9 data-theory comparison
E288_300_Q_11_12 data-theory comparison
E288_400_Q_5_6 data-theory comparison
E288_400_Q_6_7 data-theory comparison
E288_400_Q_7_8 data-theory comparison
E288_400_Q_8_9 data-theory comparison
E288_400_Q_11_12 data-theory comparison
E288_400_Q_12_13 data-theory comparison
E288_400_Q_13_14 data-theory comparison
STAR_510 data-theory comparison
CDF_RunI data-theory comparison
CDF_RunII data-theory comparison
D0_RunI data-theory comparison
D0_RunII data-theory comparison
D0_RunIImu data-theory comparison
LHCb_7TeV data-theory comparison
LHCb_8TeV data-theory comparison
LHCb_13TeV data-theory comparison
CMS_7TeV data-theory comparison
CMS_8TeV data-theory comparison
ATLAS_7TeV_y_0_1 data-theory comparison
ATLAS_7TeV_y_1_2 data-theory comparison
ATLAS_7TeV_y_2_2.4 data-theory comparison
ATLAS_8TeV_y_0_0.4 data-theory comparison
ATLAS_8TeV_y_0.4_0.8 data-theory comparison
ATLAS_8TeV_y_0.8_1.2 data-theory comparison
ATLAS_8TeV_y_1.2_1.6 data-theory comparison
ATLAS_8TeV_y_1.6_2 data-theory comparison
ATLAS_8TeV_y_2_2.4 data-theory comparison
ATLAS_8TeV_Q_46_66 data-theory comparison
ATLAS_8TeV_Q_116_150 data-theory comparison